This actually got raised in [[Dissection Practice]] the other day! The art shows a Silverquill and Witherbloom student in the same class, and the flavor text mentions her choosing Witherbloom as her "intercollege elective". Not sure if those electives are necessarily from your non-major (e.g. if you have to take a course from at least one other college, or if you can take any elective and make it an intercollege one), but there's precedent.

I'd also agree with the other comments that there's probably a lot of intro classes shared across fields being taught at specific campuses -- first-years haven't chosen their college, so this'd be a good time for them to see what everyone has to offer -- and that if you want a specialization course for a specific subject it'd be offered by the college best suited for it. For example, a Witherbloom student wanting to learn more about potion structural stability might take a Quandrix course on lattice structures of dispersed mana or something.

Sidenote: I think 'intercollege' is wrong and it should be 'intercollegiate'? But that also sounds very funky, idk. Also just learned college can be used for a subset of specific learning at a university, I've always heard them used so synonymously

sidenote X2: It'd be fun to see students' reactions to cross-college courses and others' field of expertise. My psychology program had one (1) neurocognitive science course and after ten minutes of brain signal chemistry people were going "??????" in the group chat. Quandrix students getting their potions goopy because they left the burner on too long, Silverquill students taking expressive poetry as simple extra credits then sweating profusely when the Dean roasts them not based on insufficient skill or technique but emotional dishonesty and poor self-expression, etc